An administrator at a rural college claims that the proportion, \( p \), of students who commute farther than fifteen miles to school is more than 25%. To test this, she selects a random sample of 275 students at this college, and she finds that 86 commute farther than fifteen miles to school. Is there enough evidence to support the administrator's claim at the 0.05 level of significance?Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)---(a) State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \).\( H_0 \): [ ]\( H_1 \): [ ](b) Determine the type of test statistic to use.(Choose one) [ ](c) Find the value of the test statistic. (Round to three or more decimal places.)[ ](d) Find the critical value. (Round to three or more decimal places.)[ ](e) Can we support the claim that the proportion of students who commute farther than fifteen miles to school is more than 25%?○ Yes○ No---This task involves hypothesis testing using statistical methods to determine if there is significant evidence to support the administrator's claim. The steps involve formulating hypotheses, choosing a statistical test, and calculating the test statistic and critical value.

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Answered: An administrator at a rural college…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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